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Finding the Fourth Proportional to 36,031, 54,055.16 and 11,407

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Solution

The fourth proportional to 36,031, 54,055.16 and 11,407 is: 17,113.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,031 : 54,055.16 = 11,407 : x
  2. Step 2: Convert to fraction form
    36,031/54,055.16 = 11,407/x
  3. Step 3: Cross multiply
    36,031x = 54,055.16 × 11,407
  4. Step 4: Simplify right side
    36,031x = 616,607,210.12
  5. Step 5: Solve for x
    x = 616,607,210.12/36,031
  6. Step 6: Final answer
    x = 17,113.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.